Whakaoti i te x-1/6-x=-25/18

$$\frac{ x-1 }{ 6 } -x=- \frac{ 25 }{ 18 }$$

Whakaoti mō x

$$x = \frac{22}{15} = 1\frac{7}{15} \approx 1.466666667$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 18, arā, te tauraro pātahi he tino iti rawa te kitea o 6,18.

$$3\left(x-1\right)-18x=-25$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x-1.

$$3x-3-18x=-25$$

Pahekotia te 3x me -18x, ka -15x.

$$-15x-3=-25$$

Me tāpiri te 3 ki ngā taha e rua.

$$-15x=-25+3$$

Tāpirihia te -25 ki te 3, ka -22.

$$-15x=-22$$

Whakawehea ngā taha e rua ki te -15.

$$x=\frac{-22}{-15}$$

Ka taea te hautanga \frac{-22}{-15} te whakamāmā ki te \frac{22}{15} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{22}{15}$$